The pointwise stabilities of piecewise linear finite element method on non-obtuse tetrahedral meshes of nonconvex polyhedra

Huadong Gao, Weifeng Qiu

Let $\Omega$ be a Lipschitz polyhedral (can be nonconvex) domain in ${\mathbb{R}}^3$, and $V_h$ denotes the finite element space of continuous piecewise linear polynomials. On non-obt…